A Weighted Sine Maximum

★ 8/10trigonometry Extrema calculus Cauchy-Schwarz inequality

Problem

Let $A, B, C$ be the interior angles of a triangle. Find the maximum value of

m = 3\sin A + 4\sin B + 18\sin C.

Answer

Solution

Difficulty	8/10
Topics	trigonometry, Extrema, calculus, Cauchy-Schwarz, inequality

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